3D numerical simulation of on ground Marangoni flow instabilities in liquid bridges of low Prandtl number fluid

Marcello Lappa, Shouichi Yasuhiro, Nobuyuki Imaishi

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The influence of gravity on the Marangoni flow instability in half zone liquid bridges in the case of liquid metals is investigated by direct three-dimensional and time-dependent simulation of the problem. The computations are carried out for different heating conditions and environments (zero g conditions and on ground liquid zone heated from above or from below). The case of cylindrical shape (simplified model) and of melt/air interface deformed by the effect of gravity (real conditions) are considered. The comparison among these situations gives insight into the separate (gravity) effects of buoyancy forces and of the free surface deviation with respect to straight configuration. Body-fitted curvilinear co-ordinates are adopted to handle the non-cylindrical problem. The liquid bridge exhibits different behaviours according to the allowed bridge shape. If the shape is forced to be cylindrical, the flow field is stabilized in the case of heating from above and destabilized if gravity is reversed. If the deformation is taken into account, gravity always stabilizes the Marangoni flow regardless of its direction (parallel or antiparallel to the axis) and the three-dimensional flow structure is different according to the heating condition (from above or from below). In the latter case, the critical Marangoni number is larger and the critical wave number is smaller, compared with the opposite condition. In addition, for Pr=0.02 (Gallium) a surprising heretofore unseen behaviour arises. No steady bifurcation occurs and the flow becomes unstable directly to an oscillatory disturbances. This phenomenon has never been reported before in the case of low Prandtl number liquids.
LanguageEnglish
Pages309-340
Number of pages32
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Volume13
Issue number3
DOIs
Publication statusPublished - 2003

Fingerprint

Liquid Bridge
Flow Instability
Prandtl number
Gravity
Gravitation
Fluid
Numerical Simulation
Fluids
Computer simulation
Liquids
Heating
Liquid
Antiparallel
Liquid Metal
Curvilinear Coordinates
Three-dimensional Flow
Buoyancy
Gallium
Flow structure
Liquid metals

Keywords

  • numerical simulation
  • Marangoni flow instabilities
  • liquid bridges
  • low Prandtl number fluid
  • gravity
  • metals

Cite this

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title = "3D numerical simulation of on ground Marangoni flow instabilities in liquid bridges of low Prandtl number fluid",
abstract = "The influence of gravity on the Marangoni flow instability in half zone liquid bridges in the case of liquid metals is investigated by direct three-dimensional and time-dependent simulation of the problem. The computations are carried out for different heating conditions and environments (zero g conditions and on ground liquid zone heated from above or from below). The case of cylindrical shape (simplified model) and of melt/air interface deformed by the effect of gravity (real conditions) are considered. The comparison among these situations gives insight into the separate (gravity) effects of buoyancy forces and of the free surface deviation with respect to straight configuration. Body-fitted curvilinear co-ordinates are adopted to handle the non-cylindrical problem. The liquid bridge exhibits different behaviours according to the allowed bridge shape. If the shape is forced to be cylindrical, the flow field is stabilized in the case of heating from above and destabilized if gravity is reversed. If the deformation is taken into account, gravity always stabilizes the Marangoni flow regardless of its direction (parallel or antiparallel to the axis) and the three-dimensional flow structure is different according to the heating condition (from above or from below). In the latter case, the critical Marangoni number is larger and the critical wave number is smaller, compared with the opposite condition. In addition, for Pr=0.02 (Gallium) a surprising heretofore unseen behaviour arises. No steady bifurcation occurs and the flow becomes unstable directly to an oscillatory disturbances. This phenomenon has never been reported before in the case of low Prandtl number liquids.",
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author = "Marcello Lappa and Shouichi Yasuhiro and Nobuyuki Imaishi",
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3D numerical simulation of on ground Marangoni flow instabilities in liquid bridges of low Prandtl number fluid. / Lappa, Marcello; Yasuhiro, Shouichi ; Imaishi, Nobuyuki.

In: International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 13, No. 3, 2003, p. 309-340.

Research output: Contribution to journalArticle

TY - JOUR

T1 - 3D numerical simulation of on ground Marangoni flow instabilities in liquid bridges of low Prandtl number fluid

AU - Lappa, Marcello

AU - Yasuhiro, Shouichi

AU - Imaishi, Nobuyuki

PY - 2003

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N2 - The influence of gravity on the Marangoni flow instability in half zone liquid bridges in the case of liquid metals is investigated by direct three-dimensional and time-dependent simulation of the problem. The computations are carried out for different heating conditions and environments (zero g conditions and on ground liquid zone heated from above or from below). The case of cylindrical shape (simplified model) and of melt/air interface deformed by the effect of gravity (real conditions) are considered. The comparison among these situations gives insight into the separate (gravity) effects of buoyancy forces and of the free surface deviation with respect to straight configuration. Body-fitted curvilinear co-ordinates are adopted to handle the non-cylindrical problem. The liquid bridge exhibits different behaviours according to the allowed bridge shape. If the shape is forced to be cylindrical, the flow field is stabilized in the case of heating from above and destabilized if gravity is reversed. If the deformation is taken into account, gravity always stabilizes the Marangoni flow regardless of its direction (parallel or antiparallel to the axis) and the three-dimensional flow structure is different according to the heating condition (from above or from below). In the latter case, the critical Marangoni number is larger and the critical wave number is smaller, compared with the opposite condition. In addition, for Pr=0.02 (Gallium) a surprising heretofore unseen behaviour arises. No steady bifurcation occurs and the flow becomes unstable directly to an oscillatory disturbances. This phenomenon has never been reported before in the case of low Prandtl number liquids.

AB - The influence of gravity on the Marangoni flow instability in half zone liquid bridges in the case of liquid metals is investigated by direct three-dimensional and time-dependent simulation of the problem. The computations are carried out for different heating conditions and environments (zero g conditions and on ground liquid zone heated from above or from below). The case of cylindrical shape (simplified model) and of melt/air interface deformed by the effect of gravity (real conditions) are considered. The comparison among these situations gives insight into the separate (gravity) effects of buoyancy forces and of the free surface deviation with respect to straight configuration. Body-fitted curvilinear co-ordinates are adopted to handle the non-cylindrical problem. The liquid bridge exhibits different behaviours according to the allowed bridge shape. If the shape is forced to be cylindrical, the flow field is stabilized in the case of heating from above and destabilized if gravity is reversed. If the deformation is taken into account, gravity always stabilizes the Marangoni flow regardless of its direction (parallel or antiparallel to the axis) and the three-dimensional flow structure is different according to the heating condition (from above or from below). In the latter case, the critical Marangoni number is larger and the critical wave number is smaller, compared with the opposite condition. In addition, for Pr=0.02 (Gallium) a surprising heretofore unseen behaviour arises. No steady bifurcation occurs and the flow becomes unstable directly to an oscillatory disturbances. This phenomenon has never been reported before in the case of low Prandtl number liquids.

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